Answer:
1.5
Step-by-step explanation:
The question is incomplete due to the probability distribution table, investigating you can find it so I will attach it.
Having the table, we need to find the mean of the probability distribution, which is defined as the sum of the product of probability and value of random distribution, that is:
M = Sum (xi) * P (xi)
We replace:
M = 0.5 * 0.07 + 1 * 0.2 + 1.5 * 0.46 + 2 * 0.2 + 2.5 * 0.07
M = 1.5
Therefore, the mean of the given table is 1.5
Answer:
Step-by-step explanation:
<u>Equation of a line</u>
A line can be represented by an equation of the form
Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.
We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.
Two lines with slopes m1 and m2 are perpendicular if:
The given line has a slope m1=5, thus the slope of our required line is:
The equation of the line now can be expressed as:
We need to find the value of b, which can be done by using the point (7,2):
Operating:
Multiplying by 5:
Operating:
Solving for b:
The equation of the line is: